03174nam 2200637 a 450 991097136520332120250718155957.097816144460261614446024(CKB)2560000000081405(EBL)3330439(SSID)ssj0000577569(PQKBManifestationID)12263568(PQKBTitleCode)TC0000577569(PQKBWorkID)10561889(PQKB)11160581(Au-PeEL)EBL3330439(CaPaEBR)ebr10733082(OCoLC)939263619(RPAM)15634253(MiAaPQ)EBC3330439(Perlego)3450846(EXLCZ)99256000000008140520090220d2009 uy 0engurcn|||||||||txtccrCalculus deconstructed a second course in first-year calculus /Zbigniew H. Nitecki1st ed.Washington, D.C. Mathematical Association of Americac20091 online resource (0 p.)AMS/MAA Textbooks,2577-1213 ;v. 16MAA textbooksDescription based upon print version of record.9780883857564 0883857561 Includes bibliographical references (p. 477-480) and index.Precalculus -- Sequences and their limits -- Continuity -- Differentiation -- Integration -- Power series -- The rhetoric of mathematics (Methods of proof).Calculus Deconstructed is a thorough and mathematically rigorous exposition of single-variable calculus for readers with some previous exposure to calculus techniques but not to methods of proof. This book is appropriate for a beginning Honors Calculus course assuming high school calculus or a "bridge course" using basic analysis to motivate and illustrate mathematical rigor. It can serve as a combination textbook and reference book for individual self-study. Standard topics and techniques in single-variable calculus are presented in context of a coherent logical structure, building on familiar properties of real numbers and teaching methods of proof by example along the way. Numerous examples reinforce both practical and theoretical understanding, and extensive historical notes explore the arguments of the originators of the subject.No previous experience with mathematical proof is assumed: rhetorical strategies and techniques of proof (reductio ad absurdum, induction, contrapositives, etc.) are introduced by example along the way. Between the text and exercises, proofs are available for all the basic results of calculus for functions of one real variable.MAA TextbooksCalculusTextbooksCalculusProblems, exercises, etcCalculusCalculus515Nitecki Zbigniew48599Mathematical Association of America.MiAaPQMiAaPQMiAaPQBOOK9910971365203321Calculus deconstructed4367130UNINA